GCD of 84, 3, 58, 15 Calculator

Given Input numbers are 84, 3, 58, 15

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Greatest Common Divisior

We found the divisors of 84, 3, 58, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 3, 58, 15 is 1.

Therefore, GCD of numbers 84, 3, 58, 15 is 1

Given Input Data is 84, 3, 58, 15

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 3 is 3

Prime Factorization of 58 is 2 x 29

Prime Factorization of 15 is 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(84, 3) = 84

GCD(84, 3) = ( 84 x 3 ) / 84

GCD(84, 3) = 252 / 84

GCD(84, 3) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

GCD of 84, 3, 58, 15 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 6, 51, 93
• GCD of 45, 4, 68, 22
• GCD of 35, 6, 73, 65
• GCD of 21, 2, 22, 56
• GCD of 18, 3, 16, 95

1. What is the GCD of 84, 3, 58, 15?

GCD of 84, 3, 58, 15 is 1

2. Where do I get the detailed procedure to find GCD of 84, 3, 58, 15?

You can find a detailed procedure to find GCD of 84, 3, 58, 15 on our page.

3. How to find GCD of 84, 3, 58, 15 on a calculator?

You can find the GCD of 84, 3, 58, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.